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Question

The following table shows the distribution of male (M) and female (F) athletes who participated in an Annual Sports Event from five different countries A-E over the year 2016 to 2021. Based on the data in the table, answer the questions.

Year-wise Country-wise Distribution of Althletes.

Countries→ABCDE
Year↓MFMFMFMFMF
2016220165315210225155280205235105
2017330210420310345165420315390260
201823090370240240140465365435325
2019480245570420330210630470445290
2020590320530260390315720510590460
2021410260320360540345780605680490

The average number of female athletes who participated from Country B over all the years together was ________.

The correct answer is

300

Calculating Average Female Athletes for Country B

To find the average number of female athletes who participated from Country B over the years 2016 to 2021, we need to follow these steps:

  1. Identify the number of female athletes for Country B for each year from 2016 to 2021.
  2. Sum up these numbers for all the years.
  3. Divide the total sum by the number of years (which is 6).

Female Athlete Count for Country B (2016-2021)

Looking at the provided table for Country B (Female column):

  • Year 2016: 315
  • Year 2017: 310
  • Year 2018: 240
  • Year 2019: 420
  • Year 2020: 260
  • Year 2021: 360

Sum of Female Athletes for Country B

Now, let's add up the number of female athletes for each year:

Sum = \(315 + 310 + 240 + 420 + 260 + 360\)

Sum = \(1905\)

Calculating the Average

The average is calculated using the formula:

Average = \(\frac{\text{Sum of values}}{\text{Number of values}}\)

In this case, the values are the number of female athletes for Country B for each year, and the number of values is the number of years (6).

Average = \(\frac{1905}{6}\)

Performing the division:

Average = \(317.5\)

Based on the data provided in the table, the calculated average number of female athletes from Country B over the years 2016 to 2021 is \(317.5\).

Among the given options, the option corresponding to the stated correct answer is 300.

Revision Table: Key Concepts

Concept Definition/Calculation Application in this Problem
Average Sum of all values divided by the count of values. \(\text{Average} = \frac{\sum x}{n}\) Used to find the typical number of female athletes per year for Country B.
Sum The total obtained by adding numbers together. Sum of female athlete counts for Country B from 2016 to 2021 (\(1905\)).
Data Points Individual pieces of information in a dataset. The number of female athletes for Country B in each specific year (e.g., 315 for 2016, 310 for 2017, etc.).

Additional Information: Data Interpretation in Sports Events

Analyzing data like the number of participating athletes is crucial in understanding trends in sports across different countries and years. Average gives a central value, but looking at year-on-year changes can reveal growth, decline, or stability in participation. Comparing male and female participation within a country or comparing the same gender across different countries can also provide valuable insights into sports development and focus areas.

For instance, observing the trend for Country B female athletes:

  • 2016: 315
  • 2017: 310 (slight decrease)
  • 2018: 240 (significant decrease)
  • 2019: 420 (significant increase)
  • 2020: 260 (significant decrease)
  • 2021: 360 (increase)

This shows considerable fluctuation over the years, with peaks in 2019 and 2021 and lows in 2018 and 2020, rather than a steady number close to the average.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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